1+2(x-3)=1-2(x-6)

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Solution for 1+2(x-3)=1-2(x-6) equation:


Simplifying
1 + 2(x + -3) = 1 + -2(x + -6)

Reorder the terms:
1 + 2(-3 + x) = 1 + -2(x + -6)
1 + (-3 * 2 + x * 2) = 1 + -2(x + -6)
1 + (-6 + 2x) = 1 + -2(x + -6)

Combine like terms: 1 + -6 = -5
-5 + 2x = 1 + -2(x + -6)

Reorder the terms:
-5 + 2x = 1 + -2(-6 + x)
-5 + 2x = 1 + (-6 * -2 + x * -2)
-5 + 2x = 1 + (12 + -2x)

Combine like terms: 1 + 12 = 13
-5 + 2x = 13 + -2x

Solving
-5 + 2x = 13 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-5 + 2x + 2x = 13 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-5 + 4x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 4x = 13 + 0
-5 + 4x = 13

Add '5' to each side of the equation.
-5 + 5 + 4x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 13 + 5
4x = 13 + 5

Combine like terms: 13 + 5 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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